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Prove that if 2a(0)^(2)lt15a,"all roots ...

Prove that if `2a_(0)^(2)lt15a,"all roots of "x^(5)-a_(0)x^(4)+3ax^(3)+bx^(2)+cx+d=0` cannot be real. It is given that `a_(0),a,b,c,d inR.`

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The correct Answer is:
`f(x) = 0` will not be real.
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